What are the categories of mathematics Chicken and rabbit in the same cage Summation of column terms

What are the categories of mathematics Chicken and rabbit in the same cage Summation of column terms

In junior high school, the teacher divided mathematics into algebra and geometry
In high school, the teacher divided mathematics into function, geometry and probability
When I was in college, my teacher turned mathematics into probability theory and mathematical statistics, advanced mathematics, linear algebra and discrete mathematics
Graduate student, I haven't done it yet

The continuous number in Mathematics
Is it possible to carry in? Can't 10 or 100

In mathematics, if the natural number n is set so that there is no carry phenomenon on the bits of N + (n + 1) + (n + 2) in vertical addition, it is called "continuous number". For example, 232 is "continuous number", because there is no carry phenomenon on the bits of 232 + 233 + 234; 233 is not "continuous number", because there is carry phenomenon on the bits of 233 + 234 + 245

In the library, there are 60 science and technology books less than story books, and 3 / 8 science and technology books less than story books. How many story books are there?

Story book: 60 △ 3 / 8 = 160
Unit 1 is the number of story books, 3 / 8 of which is 60

Solution equation: 5x-3 times point 5 = 6.5
Make the process clear

5x-3*1.5=6.5
5x=6.5-4.5
x=2/5
x=0.4

If the solution set of inequality MX ^ 2 - (2m + 1) x + M-1 ≥ 0 is empty, then the value range of M

When m = 0, - X-1 > = 0
When m is not equal to 0
m

Calculator conversion angle: to know the length of 100 radians 3, how to calculate the angle with a calculator

How to calculate the angle with a calculator when the angle a is 100 radians?
A = 100 radians = 100 * 180 / pi = 5729.578 degrees = 5729.578-360 * 15 = 329.578 degrees

Factorization 2009-178;

2009²
=(2010-1)²
=2010²-2*2010*1+1²
=4040100-4020+1
=4036081

Let n ∈ n *, (2x + 1) ^ n be an, and the sum of binomial coefficients of (3x + 1) ^ n be BN, and find the value of LiMn → + ∞ (2An + 3bn) / (an + 1 * BN + 1)

Let x = 1 from the binomial theorem, we can get the sum of the binomial coefficients of the binomial expansion of the n = 3 \8319; (3x + 1) \8319; the sum of the binomial coefficients of the expansion of (3x + 1) and the binomial coefficients of the expansion of (3x + 1) is BN = 2 ; the sum of the binomial coefficients of the expansion is BN = 2 \\\\\8319; the sum of the binomial coefficients of the binomial coefficients of the binomial expansion of the binomial expansion of the binomial coefficients of the binomial n = 3-3 \8319; (n = n = n = 2; (n = n = n = n = n = 2; (n = n = n = 2; (n = n = 2 8226

If a is the solution of equation 3-x = 2, find the absolute value of a + 2009 power of A-1 / A

If a is the solution of equation 3-x = 2,
Then a = 1
Absolute value of a + 2009 power of a - 1 / A
=1+1-1
=1

Let ABC be the internal angle of a triangle and satisfy the equation (SINB Sina) x2 + (Sina sinc) x + (sinc SINB) = 0 with two equal real roots

Obviously x = 1, so SINB Sina = sinc SINB, and sina-sinc = - 2 (SINB Sina)
That is, 2b = a + C 4B ^ 2 = a ^ 2 + C ^ 2 + 2Ac
cosB=[a^2+c^2-b^2]/2ac=[3a^2+3c^2-2ac]/8ac>=[6ac-2ac]/2ac=1/2
0